229
Views
5
CrossRef citations to date
0
Altmetric
Articles

A generalized likelihood ratio test for monitoring profile data

ORCID Icon, &
Pages 1402-1415 | Received 04 Dec 2019, Accepted 19 Jan 2021, Published online: 02 Feb 2021

References

  • A.A. Aly, M.A. Mahmoud, and W.H. Woodall, A comparison of the performance of phase II simple linear profile control charts when parameters are estimated, Commun. Stat. Simul. Comput. 44 (2015), pp. 1432–1440.
  • Z. Cai, J. Fan, and R. Li, Efficient estimation and inferences for varying-coefficient models, J. Amer. Statist. Assoc. 95 (2000), pp. 888–902.
  • G. Casella and R.L. Berger, Statistical Inference, Vol. 2, Duxbury Pacific Grove, CA, 2002.
  • R.J. Cook, Generalized Linear Model, Encyclopedia of Biostatistics, John Wiley & Sons, Ltd, NJ, 2005.
  • D. Ding, F. Tsung, and J. Li, Ordinal profile monitoring with random explanatory variables, Int. J. Prod. Res. 55 (2017), pp. 736–749.
  • Y. Ding, L. Zeng, and S. Zhou, Phase-I analysis for monitoring nonlinear profiles in manufacturing processes, J. Qual. Technol. 38 (2006), pp. 199–216.
  • J. Fan, C. Zhang, and J. Zhang, Generalized likelihood ratio statistics and wilks phenomenon, Ann. Stat. 29 (2001), pp. 153–193.
  • A.S. Gomaa and J.B. Birch, A semiparametric nonlinear mixed model approach to phase I profile monitoring, Commun. Stat. Simul. Comput. 48 (2018), pp. 1677–1693.
  • M. Grasso, A. Menafoglio, B.M. Colosimo, and P. Secchi, Using curve-registration information for profile monitoring, J. Qual. Technol. 48 (2017), pp. 99–127.
  • L. Kang and S.L. Albin, On-line monitoring when the process yields a linear profile, J. Qual. Technol. 32 (2018), pp. 418–426.
  • K. Kim, M.A. Mahmoud, and W.H. Woodall, On the monitoring of linear profiles, J. Qual. Technol. 35 (2018), pp. 317–328.
  • S. Knoth, Accurate ARL computation for EWMA-S 2 control charts, Stat. Comput. 15 (2005), pp. 341–352.
  • M.A. Mahmoud, P.A. Parker, W.H. Woodall, and D.M. Hawkins, A change point method for linear profile data, Qual. Reliab. Eng. Int. 23 (2007), pp. 247–268.
  • M.A. Mahmoud and W.H. Woodall, Phase I analysis of linear profiles with calibration applications, Technometrics 46 (2004), pp. 380–391.
  • A. Menafoglio, M. Grasso, P. Secchi, and B.M. Colosimo, Profile monitoring of probability density functions via simplicial functional PCA with application to image data, Technometrics 60 (2018), pp. 497–510.
  • K. Paynabar, C. Zou, and P. Qiu, A change-point approach for phase-I analysis in multivariate profile monitoring and diagnosis, Technometrics 58 (2016), pp. 191–204.
  • J.A. Rice, Mathematical Statistics and Data Analysis, Duxbury Advanced Series, 3rd ed., Thomson Brooks/Cole, Belmont, CA, 2007.
  • Y. Shang, F. Tsung, and C. Zou, Profile monitoring with binary data and random predictors, J. Qual. Technol. 43 (2017), pp. 196–208.
  • Walker and Wright, (2002). Available at http://bus.utk.edu/stat/walker/VDP/Allstack.TXT.
  • Y.H.T. Wang and Y. Lai, Monitoring of autocorrelated general linear profiles, J. Stat. Comput. Simul. 89 (2019), pp. 519–535.
  • J.D. Williams, W.H. Woodall, J.B. Birch, Statistical monitoring of nonlinear product and process quality profiles, Qual. Reliab. Eng. 23 (2007), pp. 925–941.
  • L. Xu, S. Wang, Y. Peng, J. Morgan, M.R. Reynolds, and W.H. Woodall, The monitoring of linear profiles with a GLR control chart, J. Qual. Technol. 44 (2012), pp. 348–362.
  • A.B. Yeh, L. Huwang, and Y.F. Wu, A likelihood-ratio-based EWMA control chart for monitoring variability of multivariate normal processes, IIE Trans. 36 (2004), pp. 865–879.
  • J. Zhang, Z. Li, and Z. Wang, Control chart based on likelihood ratio for monitoring linear profiles, Comput. Stat. Data Anal. 53 (2009), pp. 1440–1448.
  • J. Zhang, C. Zou, and Z. Wang, A control chart based on likelihood ratio test for monitoring process mean and variability, Qual. Reliab. Eng. Int. 26 (2010), pp. 63–73.
  • J. Zhu and D.K. Lin, Monitoring the slopes of linear profiles, Qual. Eng. 22 (2009), pp. 1–12.
  • C. Zou, X. Ning, and F. Tsung, Lasso-based multivariate linear profile monitoring, Ann. Oper. Res. 192 (2012), pp. 3–19.
  • C. Zou, P. Qiu, and D. Hawkins, Nonparametric control chart for monitoring profiles using change point formulation and adaptive smoothing, Stat. Sin. 19 (2009), pp. 1337–1357.
  • C. Zou, Y. Zhang, and Z. Wang, A control chart based on a change-point model for monitoring linear profiles, IIE Trans. 38 (2006), pp. 1093–1103.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.